Find the antiderivative of the function f(x)=3x^2-7x-2/x

Q: Find the derivative of the function by the limit process.

A: We have to find derivative of the function using limit process: fx=x+4 We know the formula of…

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: max value for y

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Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Quotient Rulewith ƒ(x) =…

A: Given: We have to find the derivative of f(x)

Q: Find the derivative of x/ex^2.

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Q: find the most general antiderivative of 5x^2+square root of x

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Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: ind the derivative of f(x) = 2x/√x+1

A: Explanation:Given that  f(x)=2xx+1     Formula Used:fg'=f'g-fg'g2

Q: Find all relative extrema of the function f(x) = x* – 4x2 + 2 by using the Second Derivative Test…

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: How is derivatives utilized in solving for the dimensions and total area of a box?

A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.

Q: By using the second derivative test for functions of two variables, find three positive numbers…

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Q: Use differentials to estimate the value. estimate =  exact value =

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Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: Find the derivative of the function by the limit process. f(x) = √(x + 4)

A: Given function is

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: 7) f(x) = 3e In x %3D

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Q: general

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Q: x³tanh² (x*) sech²(x*) dx

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Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: tion of the tangent line to f(x) = 4 %3D

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Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: 1 F(x) = -1. tanh 3x

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Q: what is the differentiate of f(x)=ln x

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Q: Find the derivative of the function. rlx) = [in[x*}}°

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Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: dervivative of (ln(cosh(x)))3

A: Given data:     The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…

Q: maximum point of y x – 2

A: Condition for Extreme Value: A continuous function fx, y has extrema at a, b if fx=fy=0 at a, b…

Q: How is the antiderivative of a function related to the function?

A: Given: antiderivative of a function related to the function.

Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Find the general solution using Integrating Factors Found by Inspection

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Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: How can you relate antiderivatives as an opposite of derivatives in your life?

A: Solution:   Antiderivatives are the inverse operations of derivatives or the backward operation…

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

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Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.

Q: What is the difference of antidifferentiation and anti-derivative?

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Q: find the derivative by using the definition of a deriviative.f(x)= 1/3x+2

A: according to definition of derivative we will evaluate the derivative of f(x)

Q: How do you find the partial derivative of a given function using the definition formula?

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Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: f (x) %3D х3 -Зх2- 2 3x2

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Q: Find the relative extrema using both First and Second Partial Derivative test f(x) = 1+8x - 3x2

A: i) The given function is fx=1+8x-3x2. Note that, the above polynomial function is real and defined…

Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x?

A: The given function: f(x)=x4-2x2 To find the first derivative of the function: f'(x)=4x3-4x Now, let…

Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Product Rule withƒ(x) = x2…

A: We have to find the derivative of the function: fx=x5 We have to find same derivative with product…

Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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Q: What are the real-life applications of antidifferentiation or integrat

A: What are the real-life applications of anti-differentiation or integration?

Q: Find the antiderivative of (2* square root of x) + (3/x^4)

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Q: When should I use partial integration and when should I use substitution?

A: When should I use partial integration and when should I use substitution.